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Table 5 The GNIM numerical results for Example 4.2 with initial \(\pmb{z_{(1)}^{0}}\)

From: A generalized Newton method of high-order convergence for solving the large-scale linear complementarity problem

  

The performance of numerical results

The solution pairs \(\boldsymbol {(u^{*},w^{*})}\)

n = 3

It

2

u∗ = (3,1.5,1)

CPU

0.0067

 

RES

0

w∗ = (0,0,0)

n = 5

It

2

u∗ = (5,2.5,1.6667,1.25,1)

CPU

0.0070

 

RES

0

w∗ = 1.0e − 015∗(0.2220,0,0,0,0)

n = 8

It

2

u∗ = (8,4,2.6667,2,1.6,1.3333,1.1429,1)

CPU

0.0072

 

RES

0

w∗ = (0,0,0,0,0,0,0,0)

n = 10

It

2

\(\begin{array}{lcl} u*&=&(10,5,3.3333,2.5,2,1.6667,1.4286,\\ &&{}1.25,1.1111,1) \end{array}\)

CPU

0.0075

 

RES

0

\(\begin{array}{lcl}w*&=&1.0e\!-\!015*(0,0.2220,-0.1110,0,0,\\ &&{}0,0.2220,0,0,0) \end{array}\)